The Doppler Effect


The Question:
How does a moving object effect the sound it produces from the perspective of a non-moving object?

History


The Doppler Effect was first suggested by Christian Doppler in 1842. He experimented with this phenomenon by having a band play on a moving platform, and listening carefully for a change in pitch. Through this experiment he discovered that the pitch did in fact change depending on the band’s location relative to him. He then published the equation explaining the Doppler Effect (shown below). Another physicist that conducted experiments dealing with the Doppler Effect was Christopher Heinrich Buys-Ballot. He performed an experiment very similar to Doppler’s: a group of trumpet players on a moving train played a constant pitch and a trained panel of musicians listened as the train passed, recording what they heard. This experiment yet again showed that the pitch does change depending on location. Armand-Hippolyte-Louis Fizeau was the first person to suggest that the Doppler Effect must apply to all waves, including light. He measured the velocity of light and applied that the distance of an object can be found through determining how its light is shifted: either towards the red or blue end of the light spectrum. The Doppler Effect was an amazing discovery and scientists have observed multiple times to help us understand how it works.[1] [2] [3] [4]

The Formula



external image eqn_doppler.gif

Perceived frequency = actual frequency (velocity of waves (plus or minus)
velocity of observer) divided by(velocity of waves (plus or minus) velocity of source)


*with this formula one must remember that Physics is all about perspective, and use the (plus or minus) accordingly...

f'=f((V+Vo)/(V-Vs)) is used when the source and the observer are coming closer together.

f'=f((V-Vo)/(V+Vs)) is used when the source and the observer are moving further apart.
[5] [6] [7] [8] [9]


How it works


The definition of the Doppler Effect is defined as a change in frequency of a wave for an observer relative to the source of the wave; this applies to both light and sound or any other electromagnetic wave. It can be witnessed anytime a firetruck, police car, or ambulance passes by. When the source of the sound passes, you can hear the change of pitch. From a distance, the pitch sounds higher than its true frequency. When the source is very close, the true pitch is heard, and as it passes the sound spreads out and has a lower and lower pitch until it cannot be heard any more. This is because of the change in wave lengths. Light acts in the same way as sound, but instead of changing pitch (because light does not produce sound); it shifts on the light spectrum. For light, these shifts are called blue or red shifts; they got these names because a moving object emitting light will have a shift towards the blue side of the light spectrum if it is moving toward the observer or a red shift towards red side of the spectrum if it is moving away from the observer.The Doppler effect has helped us to improve technology and to create new inventions that lead us to discovering new things about our universe.

Click here to see a police siren demonstration of the Doppler Effect!
[10]
[11] [12] [13] [14] [15]


Uses


The Doppler Effect has many uses in our world today; especially in the medical field, weather, and law enforcement. An ultrasound is a well-known use of the Doppler Effect that uses sound waves to produce a picture of things below the human tissue. Ultrasounds work by sending a pulse through a person’s tissues that reflects back to give a view of a person’s organs. The Doppler radar is a radar that is used to measure the velocity and of an object and to see how far away it is; this is mostly used in weather but, Doppler radars can also be used in astronomy to figure out the distance of stars from earth. Doppler Radars beam a microwave signal towards a certain object and waits for the signal to get back, and then it looks how the frequency changed because of the objects motion. Another use of the Doppler Effect is a radar speed gun that police use to determine how fast someone is going. This gun is made up of a radio transmitter and a receiver; this also sends out a wave and compares the outgoing frequency to the one that is received. The Doppler Effect has helped us to learn more about the universe that we live in and we are constantly making more possible conclusions about what else we can do with the Doppler Effect.
[16] [17] [18] [19]
external image tower.jpg[20]
external image reverb2.JPG[21]




external image Radar_gun.jpg
[22]


Interesting Facts


Many topics in the world of science can be explained through the Doppler Effect. Astronomers are using the Doppler Effect to explain the creation of our universe in the big bang theory, and they have also used it to discover that our universe is expanding through measuring distant stars and galaxies. Edwin Hubble found evidence to support that the universe is expanding through measuring the light from distant galaxies. Since the entire universe was once very compact upon its creation, and then expanded very quickly, one must think about Newton's First Law of Motion "objects in motion stay in motion until acted upon by an outside force". The universe began expanding by this "bang" and the galaxies are now only continuing their outward movement. Sonic booms can also be explained through the Doppler Effect. When a sonic boom occurs the observer will actually see the object that created the boom before the sound reaches their ear. This "boom" is actually felt, more like a "thump" when the moving object moves at a faster velocity than the sound waves it produces.Researchers are using something called the Reverse Doppler Effect to begin creating "invisible cloaks". Once these objects are perfected it could open an array of possibilities. The Doppler Effect is making what was once believed to only be Sci-Fi a reality and allowing scientist to test their own theories that they come up with while observing the Doppler Effect.

Click here to see and hear a sonic boom!

[23] [24] [25] [26] [27] [28]



Experiment

Purpose

To use the Doppler Shift equation to calculate results of this experiment in order too confirm and demonstrate the characteristics of the Doppler Effect as described by it’s founder, Christian Doppler.



Materials

  • car
  • sound, such as loud music or a car horn, or anything else you could think of...
  • long measuring tape (about 30 meters or longer)
  • video camera




Introduction

The definition of the Doppler Effect is a change in frequency of a wave being emitted from a moving object relative to an observer and vise versa. The Doppler Effect applies to all forms of waves. Take sound waves for example, pretend you see a fire truck in the distance. You pull over and stop your car to let it pass. When it is far away, its sirens sound higher pitched than their true frequency. When it passes directly next to you you hear the true pitch, this is the pitch the driver would hear this entire time. And finally, as it moves away from you the pitch gets lower and lower until it cannot be heard anymore. This is all because of the phenomenon known as the Doppler Effect.



Equations

f ‘: frequency (apparent)

f : emitted frequency
v : velocity of waves in the medium
vo : velocity of observer
vs : velocity of source/emitter

external image j88l2Oj59lONjpRq5_TWF94o8fjt6bW7k2YwkS89l7U_YUps6enEo44SeznT-EZboTcdnN5ex3g_Pyc1MJ64Ao98qC1o1SXhmLqCw3kyEO4JzxsaSg


Safety Info

Wear a seat belt! And don’t forget to look at your surroundings while driving...



Planned Procedure

Take the air temperature. Decide a distance away to begin driving and honking horn or playing music loudly. Record the trials with a video camera, but do not move the camera to see the car coming, we are only interested in the sound produced and the varied frequencies. Then, in another trial drive by a sound source such as a stopped car playing music loudly or honking their horn and record the sound with the video camera. To demonstrate the waves of a moving object place a bobber in a large bowl (so the sides won’t interfere with the waves bouncing back). Record results with a video camera.



Actual Procedure

We measured the distance away from the “observer” (camera person) to the place where the driver would start honking their horn, which was 30 meters. We noted that the wind was blowing toward the observer, but we did not know the speed. We also took the air temperature, 79 degrees fahrenheit, and then we began the trial. We made sure to give the driver enough room to get up to 20 mph by the time they would need to start honking their horn. Once the driver made it to to “30 meter mark” they began honking their horn until they passed the observer (so we could hear the full Doppler Effect). While driving we tried to keep at 20 mph, but we may have fluctuated slightly. All of this was recorded on a stationary video camera.



Data

“honking distance”: 30 meters

air temperature: 79 degrees fahrenheit or about 26 degrees celsius
speed of sound: about 346 m/s in this air temperature.
car speed: 20 mph or about 9 m/s
horn frequency: 430 Hz




Calculations


f’=(346 meters per second/(346 meters per second-9 meters per second))430 Hz
f’=441 Hz
f'=(346 meters per second/(346 meters per second-9 meters per second))441 Hz
f'=452 Hz


Graphs

(of pitch shift to distance away from observer)



Results


The change of pitch had a difference of 11Hz when the car is moving towards the observer, which supports Doppler’s discovery.


Post-Experiment Discussion

If we were to do this experiment again, we would do it in a more controlled environment, or at least know how to calculate wind, temperature, and humidity into the equation because these factors most likely affected our results. Also, we would have liked to use some sort of tracking device to see the speed of the car and the distance away from the observer. It would have been easier to have our video synced with an oscilloscope to hear the exact pitch along with the distance away from the observer so that we could have graphed our information more accurately.


Click on this for our animation! It will help you understand the Doppler Effect, and how it works even more!




References

[29]

[30] [31] [32] [33] [34] [35] [36] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] [47] [48] [49]
[50]
[51]
  1. ^ Wikipedia
  2. ^ Infoplease
  3. ^ HowStuffWorks
  4. ^ austincc- Doppler Effect
  5. ^ scienceworld.wolfram- formulas
  6. ^ School for Champions
  7. ^ Formula Picture
  8. ^ mathpages
  9. ^ physics247
  10. ^ School for Champions
  11. ^ Wikipedia
  12. ^ Infoplease
  13. ^ HowStuffWorks
  14. ^ austincc- Doppler Effect
  15. ^ Doppler Effect & Astronomy
  16. ^ Ultrasound
  17. ^ Infoplease
  18. ^ HowStuffWorks
  19. ^ Doppler Effect & Astronomy
  20. ^ doppler radar picture
  21. ^ Ultrasound
  22. ^ police radar picture
  23. ^ The Doppler Effect and Sonic Booms
  24. ^ Wikipedia- Hubble's Law
  25. ^ Exploratorium- Universe Expansion
  26. ^ Infoplease
  27. ^ HowStuffWorks
  28. ^ Doppler Effect & Astronomy
  29. ^ Wikipedia
  30. ^

















    School for Champions
  31. ^ Infoplease
  32. ^ The Doppler Effect and Sonic Booms
  33. ^ Cartage.org- Doppler Effect
  34. ^ Ultrasound
  35. ^ thinkquest- sonic boom interactive
  36. ^ molebash- interactive wave simulation
  37. ^ HowStuffWorks
  38. ^ scienceworld.wolfram- formulas
  39. ^ mathpages
  40. ^ Doppler Shift Demonstrator
  41. ^ Police Car Demonstration
  42. ^ Doppler Shift- Light
  43. ^ Exploratorium- Universe Expansion
  44. ^ Wikipedia- Hubble's Law
  45. ^ austincc- Doppler Effect
  46. ^ Doppler Effect & Astronomy
  47. ^ sVisual Demonstrator
  48. ^ physics247
  49. ^ eFormula Picture
  50. ^



    e













    doppler radar picture
  51. ^

















    police radar picture